Duadic Codes over F 2 + u F 2

San Ling, Patrick Solé
2001 Applicable Algebra in Engineering, Communication and Computing  
Duadic codes over F 2 +uF 2 are introduced as abelian codes by their zeros. This is the function field analogue of duadic codes over Z 4 introduced recently by Langevin and Solé. They produce binary self-dual codes via a suitable Gray map. Their binary images are themselves abelian, thus generalizing a result of van Lint for cyclic binary codes of even length. We classify them in modest lengths and exhibit interesting non-cyclic examples.
doi:10.1007/s002000100079 fatcat:btccoloy4vhgtdoy76vkfcarvi